GCF of 8576/428, 2047/2307
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8576/428, 2047/2307 i.e 1/987396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8576/428, 2047/2307.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8576/428,2047/2307?
Given fractions are 8576/428,2047/2307
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 8576/428,2047/2307, numerators are 8576,2047
Denominators are 428,2307
The GCF of 8576,2047 is 1 .
LCM of 428,2307 is 987396.
The greatest common factor of 8576/428,2047/2307 = [GCF of 8576,2047]/[LCM of 428,2307]= 1/987396
Therefore, the GCF of 8576/428,2047/2307 is 1/987396.
To find the highest common factor of 8576,2047, we have to find the factors of both numbers and list the highest common factor.
The factors of 8576 are 1, 2, 4, 8, 16, 32, 64, 67, 128, 134, 268, 536, 1072, 2144, 4288, 8576
The factors of 2047 are 1, 23, 89, 2047
The HCF of 8576,2047 is 1.
Lets's calculate GCF of 8576,2047
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8576,2047 By Matching Biggest Common Factor Method
Now, list down the factors of 8576
:1,2,4,8,16,32,64,67,128,134,268,536,1072,2144,4288,8576
Now, list down the factors of 2047
:1,23,89,2047
Greatest Common Factor
We found the factors 8576,2047 . The biggest common factor number is the GCF number.
So the greatest common factor 8576,2047 is 1.
Lets's calculate LCM of 428,2307
Given numbers has no common factors except 1. So, there LCM is their product i.e 987396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/987396
Therefore, the GCF of Fractions 8576/428,2047/2307 is 1/987396
Least Common Multiple of 428,2307 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 428,2307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,2307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(428,2307) x common factors =1 x 1 = 1
LCM(428,2307) = ( 428 × 2307 ) / 1
LCM(428,2307) = 987396 / 1
LCM(428,2307) = 987396
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FAQs on GCF of Fractions of 8576/428, 2047/2307
1. What is the HCF of 8576,2047?
The HCF of 8576,2047 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 8576/428, 2047/2307?
Answer: GCF of Numerators as per given numbers 8576/428, 2047/2307 is
GCF of Numerators i.e. for 8576,2047 is 1
LCM of denominators i.e. for 428,2307 is 987396.
Thus, GCF of Fractions is 1/987396.Finally, GCF of Fractions for 8576/428, 2047/2307 is 1/987396.